Question

Asked Nov 3, 2019

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Given a sequence (x_{n}) and a real number L , prove or give a counterexample for the following statement:

(x_{n}) converges to L if and only if (|x_{n} − L|) converges to 0

Step 1

It is given that:

Step 2

Since it is given that:

Step 3

It is needed to p...

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